{"id":260052,"date":"2024-06-16T20:02:31","date_gmt":"2024-06-16T20:02:31","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=260052"},"modified":"2024-06-16T20:02:31","modified_gmt":"2024-06-16T20:02:31","slug":"what-determines-the-value-of-the-torque-constant","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/","title":{"rendered":"What determines the value of the torque constant?"},"content":{"rendered":"<p>The torque constant, also known as the motor constant or electromechanical constant, is a vital parameter when evaluating the performance of electric motors. It quantifies the relationship between the current flowing through a motor&#8217;s windings and the torque it produces. The value of the torque constant is determined by various factors that affect the motor&#8217;s design and construction. Let&#8217;s explore these determinants and understand their significance in establishing the torque constant.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_62 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Magnetic_Field_Strength\" title=\"Magnetic Field Strength\">Magnetic Field Strength<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Number_of_Turns_in_Motor_Windings\" title=\"Number of Turns in Motor Windings\">Number of Turns in Motor Windings<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Magnetic_Flux_Density\" title=\"Magnetic Flux Density\">Magnetic Flux Density<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Physical_Dimensions_of_the_Motor\" title=\"Physical Dimensions of the Motor\">Physical Dimensions of the Motor<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Winding_Pitch\" title=\"Winding Pitch\">Winding Pitch<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Coil_Fill_Factor\" title=\"Coil Fill Factor\">Coil Fill Factor<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Magnetic_Material_Properties\" title=\"Magnetic Material Properties\">Magnetic Material Properties<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Motor_Temperature\" title=\"Motor Temperature\">Motor Temperature<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Quality_of_Motor_Design_and_Construction\" title=\"Quality of Motor Design and Construction\">Quality of Motor Design and Construction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Power_Supply_Characteristics\" title=\"Power Supply Characteristics\">Power Supply Characteristics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Environmental_Conditions\" title=\"Environmental Conditions\">Environmental Conditions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#Manufacturing_Tolerances\" title=\"Manufacturing Tolerances\">Manufacturing Tolerances<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#FAQs\" title=\"FAQs\">FAQs<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#1_Can_the_torque_constant_be_modified_after_motor_construction\" title=\"1. Can the torque constant be modified after motor construction?\">1. Can the torque constant be modified after motor construction?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#2_Does_a_higher_torque_constant_always_indicate_better_motor_performance\" title=\"2. Does a higher torque constant always indicate better motor performance?\">2. Does a higher torque constant always indicate better motor performance?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#3_How_can_the_torque_constant_be_measured\" title=\"3. How can the torque constant be measured?\">3. How can the torque constant be measured?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#4_Are_there_any_standard_torque_constant_values_for_different_motor_types\" title=\"4. Are there any standard torque constant values for different motor types?\">4. Are there any standard torque constant values for different motor types?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#5_Can_the_torque_constant_change_over_the_lifetime_of_a_motor\" title=\"5. Can the torque constant change over the lifetime of a motor?\">5. Can the torque constant change over the lifetime of a motor?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#6_Does_a_higher_torque_constant_result_in_a_more_efficient_motor\" title=\"6. Does a higher torque constant result in a more efficient motor?\">6. Does a higher torque constant result in a more efficient motor?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#7_Is_the_torque_constant_the_same_for_both_AC_and_DC_motors\" title=\"7. Is the torque constant the same for both AC and DC motors?\">7. Is the torque constant the same for both AC and DC motors?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#8_What_is_the_SI_unit_of_torque_constant\" title=\"8. What is the SI unit of torque constant?\">8. What is the SI unit of torque constant?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#9_Are_there_any_trade-offs_associated_with_a_high_torque_constant\" title=\"9. Are there any trade-offs associated with a high torque constant?\">9. Are there any trade-offs associated with a high torque constant?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#10_What_happens_if_the_torque_constant_is_too_low\" title=\"10. What happens if the torque constant is too low?\">10. What happens if the torque constant is too low?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#11_Can_the_torque_constant_be_calculated_from_motor_specifications\" title=\"11. Can the torque constant be calculated from motor specifications?\">11. Can the torque constant be calculated from motor specifications?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#12_Can_the_torque_constant_vary_between_individual_motors_of_the_same_model\" title=\"12. Can the torque constant vary between individual motors of the same model?\">12. Can the torque constant vary between individual motors of the same model?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Magnetic_Field_Strength\"><\/span>Magnetic Field Strength<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe strength of the magnetic field in a motor&#8217;s rotor or stator is a crucial factor in determining the value of the torque constant. A higher magnetic field strength results in a larger torque constant, indicating that the motor can generate more torque per ampere of current passing through its windings.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Number_of_Turns_in_Motor_Windings\"><\/span>Number of Turns in Motor Windings<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe number of turns in the motor windings directly influences the torque constant. By increasing the number of turns, the magnetic field strength amplifies, leading to a higher torque constant. Consequently, the motor becomes more efficient in converting electrical energy to mechanical torque.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Magnetic_Flux_Density\"><\/span>Magnetic Flux Density<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe magnetic flux density throughout the motor&#8217;s core strongly affects the torque constant. Enhancing the magnetic flux density within the core increases the torque constant, enabling the motor to deliver higher torque output for the same current passing through its windings.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Physical_Dimensions_of_the_Motor\"><\/span>Physical Dimensions of the Motor<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe physical dimensions of the electric motor play a pivotal role in determining the torque constant. Parameters such as the length and diameter of the rotor and stator impact the torque constant value. Generally, a larger motor with increased dimensions tends to have a higher torque constant.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Winding_Pitch\"><\/span>Winding Pitch<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe winding pitch, which refers to the space between two winding turns, also affects the torque constant. A larger winding pitch results in a decreased torque constant. Conversely, a smaller winding pitch leads to an increased torque constant and improved motor performance.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Coil_Fill_Factor\"><\/span>Coil Fill Factor<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe coil fill factor, which represents the ratio of the copper conductor area to the total slot area, has an impact on the torque constant. A higher coil fill factor positively influences the torque constant, enabling the motor to generate more torque for a given amount of current.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Magnetic_Material_Properties\"><\/span>Magnetic Material Properties<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe physical properties of magnetic materials used in the motor construction significantly influence the torque constant. Materials with high permeability and saturation flux density tend to yield higher torque constants and, subsequently, more torque production.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Motor_Temperature\"><\/span>Motor Temperature<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nTemperature has a direct correlation with the torque constant. As the motor temperature increases, the torque constant may change due to variations in the magnetic properties of the materials used. Consequently, it is essential to consider motor temperature when evaluating the torque constant.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Quality_of_Motor_Design_and_Construction\"><\/span>Quality of Motor Design and Construction<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe quality of motor design and construction plays an essential role in determining the torque constant. Factors such as the precision of winding placement, insulation quality, and manufacturing techniques impact the torque constant value. High-quality construction techniques tend to yield motors with more accurate and well-defined torque constants.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Power_Supply_Characteristics\"><\/span>Power Supply Characteristics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe characteristics of the power supply provided to the motor can affect the torque constant. Variations in voltage, frequency, and waveform could influence the torque constant value, thereby impacting the motor&#8217;s performance.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Environmental_Conditions\"><\/span>Environmental Conditions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nEnvironmental conditions, such as humidity, dust, and vibration, can indirectly influence the value of the torque constant. Adverse conditions may degrade the motor&#8217;s performance over time, potentially leading to changes in the torque constant.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Manufacturing_Tolerances\"><\/span>Manufacturing Tolerances<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nSmall manufacturing tolerances in motor components can affect the torque constant. Variations in the dimensions of the rotor, stator, or winding positioning can result in slight deviations in the torque constant value.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"1_Can_the_torque_constant_be_modified_after_motor_construction\"><\/span>1. Can the torque constant be modified after motor construction?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the torque constant is a fixed parameter that cannot be modified once the motor is constructed.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_Does_a_higher_torque_constant_always_indicate_better_motor_performance\"><\/span>2. Does a higher torque constant always indicate better motor performance?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA higher torque constant generally signifies better motor performance as it means the motor can produce more torque for the same amount of current.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_How_can_the_torque_constant_be_measured\"><\/span>3. How can the torque constant be measured?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe torque constant can be measured experimentally by calculating the relationship between motor current and torque output using a dynamometer.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_Are_there_any_standard_torque_constant_values_for_different_motor_types\"><\/span>4. Are there any standard torque constant values for different motor types?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThere are no standard torque constant values for different motor types as they depend on various factors such as motor design, size, and construction materials.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Can_the_torque_constant_change_over_the_lifetime_of_a_motor\"><\/span>5. Can the torque constant change over the lifetime of a motor?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, the torque constant can change over time due to factors such as aging of materials, wear and tear, and temperature variations.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_Does_a_higher_torque_constant_result_in_a_more_efficient_motor\"><\/span>6. Does a higher torque constant result in a more efficient motor?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA higher torque constant does not necessarily indicate a more efficient motor. Other factors such as the motor&#8217;s power losses and mechanical efficiency also contribute to overall motor efficiency.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Is_the_torque_constant_the_same_for_both_AC_and_DC_motors\"><\/span>7. Is the torque constant the same for both AC and DC motors?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the torque constant values differ for AC and DC motors due to differences in their construction and operating principles.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_What_is_the_SI_unit_of_torque_constant\"><\/span>8. What is the SI unit of torque constant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe SI unit of torque constant is Nm\/A (Newton-meter per Ampere).<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_Are_there_any_trade-offs_associated_with_a_high_torque_constant\"><\/span>9. Are there any trade-offs associated with a high torque constant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA higher torque constant may result in a larger motor size and weight, limiting its practical applications in certain scenarios.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_What_happens_if_the_torque_constant_is_too_low\"><\/span>10. What happens if the torque constant is too low?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the torque constant is too low, the motor may not be able to produce sufficient torque, leading to poor performance or failure to perform intended tasks.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_Can_the_torque_constant_be_calculated_from_motor_specifications\"><\/span>11. Can the torque constant be calculated from motor specifications?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIn most cases, the torque constant cannot be accurately calculated from motor specifications alone and requires experimental testing.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Can_the_torque_constant_vary_between_individual_motors_of_the_same_model\"><\/span>12. Can the torque constant vary between individual motors of the same model?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, slight variations in manufacturing tolerances can cause the torque constant to vary between individual motors of the same model.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The torque constant, also known as the motor constant or electromechanical constant, is a vital parameter when evaluating the performance of electric motors. It quantifies the relationship between the current flowing through a motor&#8217;s windings and the torque it produces. The value of the torque constant is determined by various factors that affect the motor&#8217;s &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What determines the value of the torque constant?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/#more-260052\">Read more<span class=\"screen-reader-text\">What determines the value of the torque constant?<\/span><\/a><\/p>\n","protected":false},"author":66,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-260052","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-learn","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What determines the value of the torque constant?<\/title>\n<meta name=\"description\" content=\"The torque constant, also known as the motor constant or electromechanical constant, is a vital parameter when evaluating the performance of electric\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What determines the value of the torque constant?\" \/>\n<meta property=\"og:description\" content=\"The torque constant, also known as the motor constant or electromechanical constant, is a vital parameter when evaluating the performance of electric\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/what-determines-the-value-of-the-torque-constant\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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